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Finding the Third Proportional to 92,678,050 and 199,708,776

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Solution

The third proportional to 92,678,050 and 199,708,776 is: 430,345,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,678,050 : 199,708,776 = 199,708,776 : x
  2. Step 2: Convert to fraction form
    92,678,050/199,708,776 = 199,708,776/x
  3. Step 3: Cross multiply
    92,678,050x = 199,708,776 × 199,708,776
  4. Step 4: Simplify right side
    92,678,050x = 39,883,595,211,418,176
  5. Step 5: Solve for x
    x = 39,883,595,211,418,176/92,678,050
  6. Step 6: Final answer
    x = 430,345,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.